Michael Kerber
Edelsbrunner Group
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |

Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
2013 | Published | Conference Paper | IST-REx-ID: 2906 |

3D kinetic alpha complexes and their implementation
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
[Submitted Version]
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| Files available
| DOI
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
2013 | Published | Journal Article | IST-REx-ID: 2939
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
View
| Files available
| DOI
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
2012 | Published | Journal Article | IST-REx-ID: 3256 |

Dual complexes of cubical subdivisions of ℝn
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
[Submitted Version]
View
| Files available
| DOI
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
2012 | Published | Journal Article | IST-REx-ID: 3331 |

A worst case bound for topology computation of algebraic curves
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
[Preprint]
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| DOI
| Download Preprint (ext.)
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
2012 | Published | Journal Article | IST-REx-ID: 3115 |

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
2012 | Published | Journal Article | IST-REx-ID: 3120 |

Fano 3 folds in codimension 4 Tom and Jerry Part I
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
[Preprint]
View
| DOI
| Download Preprint (ext.)
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
2012 | Published | Conference Paper | IST-REx-ID: 3133 |

Alexander duality for functions: The persistent behavior of land and water and shore
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
2011 | Published | Conference Paper | IST-REx-ID: 3270
Persistent homology computation with a twist
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
View
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
2011 | Published | Conference Paper | IST-REx-ID: 3328 |

A generic algebraic kernel for non linear geometric applications
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
2011 | Published | Conference Paper | IST-REx-ID: 3329 |

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
2011 | Published | Conference Paper | IST-REx-ID: 3330 |

Root refinement for real polynomials
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
2011 | Published | Journal Article | IST-REx-ID: 3332 |

A note on the complexity of real algebraic hypersurfaces
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
[Submitted Version]
View
| Files available
| DOI
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
2011 | Published | Conference Paper | IST-REx-ID: 3367
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
View
| Files available
| DOI
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
2011 | Published | Book Chapter | IST-REx-ID: 3796 |

Covering and packing with spheres by diagonal distortion in R^n
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
[Submitted Version]
View
| Files available
| DOI
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
2010 | Published | Conference Paper | IST-REx-ID: 3849 |

Persistent homology under non-uniform error
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
[Submitted Version]
View
| Files available
| DOI
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
2010 | Published | Conference Paper | IST-REx-ID: 3850
Polygonal reconstruction from approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
View
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
2010 | Published | Journal Article | IST-REx-ID: 3901 |

Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
[Submitted Version]
View
| Files available
| DOI
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
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18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |

Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
2013 | Published | Conference Paper | IST-REx-ID: 2906 |

3D kinetic alpha complexes and their implementation
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
[Submitted Version]
View
| Files available
| DOI
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
2013 | Published | Journal Article | IST-REx-ID: 2939
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
View
| Files available
| DOI
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
2012 | Published | Journal Article | IST-REx-ID: 3256 |

Dual complexes of cubical subdivisions of ℝn
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
[Submitted Version]
View
| Files available
| DOI
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
2012 | Published | Journal Article | IST-REx-ID: 3331 |

A worst case bound for topology computation of algebraic curves
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
2012 | Published | Journal Article | IST-REx-ID: 3115 |

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
2012 | Published | Journal Article | IST-REx-ID: 3120 |

Fano 3 folds in codimension 4 Tom and Jerry Part I
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
[Preprint]
View
| DOI
| Download Preprint (ext.)
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
2012 | Published | Conference Paper | IST-REx-ID: 3133 |

Alexander duality for functions: The persistent behavior of land and water and shore
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
2011 | Published | Conference Paper | IST-REx-ID: 3270
Persistent homology computation with a twist
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
View
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
2011 | Published | Conference Paper | IST-REx-ID: 3328 |

A generic algebraic kernel for non linear geometric applications
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
2011 | Published | Conference Paper | IST-REx-ID: 3329 |

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
2011 | Published | Conference Paper | IST-REx-ID: 3330 |

Root refinement for real polynomials
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
2011 | Published | Journal Article | IST-REx-ID: 3332 |

A note on the complexity of real algebraic hypersurfaces
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
[Submitted Version]
View
| Files available
| DOI
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
2011 | Published | Conference Paper | IST-REx-ID: 3367
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
View
| Files available
| DOI
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
2011 | Published | Book Chapter | IST-REx-ID: 3796 |

Covering and packing with spheres by diagonal distortion in R^n
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
[Submitted Version]
View
| Files available
| DOI
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
2010 | Published | Conference Paper | IST-REx-ID: 3849 |

Persistent homology under non-uniform error
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
[Submitted Version]
View
| Files available
| DOI
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
2010 | Published | Conference Paper | IST-REx-ID: 3850
Polygonal reconstruction from approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
View
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
2010 | Published | Journal Article | IST-REx-ID: 3901 |

Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
[Submitted Version]
View
| Files available
| DOI
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.